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14148433755 = 335389419643
BaseRepresentation
bin11010010110100111…
…11111011101011011
31100112000202220102000
431023103333131123
5212433444340010
610255534012043
71010416463001
oct151323773533
940460686360
1014148433755
116000470765
1228aa347023
1314462acbc1
149830b4a71
1557c1a37c0
hex34b4ff75b

14148433755 has 64 divisors (see below), whose sum is σ = 25316928000. Its totient is φ = 7496793216.

The previous prime is 14148433729. The next prime is 14148433777. The reversal of 14148433755 is 55733484141.

14148433755 is a `hidden beast` number, since 1 + 4 + 148 + 433 + 75 + 5 = 666.

It is not a de Polignac number, because 14148433755 - 25 = 14148433723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14148433755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22003464 + ... + 22004106.

It is an arithmetic number, because the mean of its divisors is an integer number (395577000).

Almost surely, 214148433755 is an apocalyptic number.

14148433755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14148433755 is a deficient number, since it is larger than the sum of its proper divisors (11168494245).

14148433755 is a wasteful number, since it uses less digits than its factorization.

14148433755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1459 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 14148433755 in words is "fourteen billion, one hundred forty-eight million, four hundred thirty-three thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 389 419 643 1167 1257 1929 1945 2095 3215 3501 3771 5787 5835 6285 9645 10503 11313 17361 17505 18855 28935 52515 56565 86805 162991 250127 269417 488973 750381 808251 814955 1250635 1347085 1466919 2251143 2424753 2444865 3751905 4041255 4400757 6753429 7274259 7334595 11255715 12123765 22003785 33767145 36371295 104803213 314409639 524016065 943228917 1572048195 2829686751 4716144585 14148433755